Let's find the current surface area of the cube.
A = 6a^2
A = 6
Now let's find the surface area of the cube when tripled.
A = 6(3^2)
A = 54
54/6 = 9
So, the answer should be the new surface area will be 9 times the old surface area.
Answer:the new surface will be 9 times the old surface area
Step-by-step explanation:
39.25 square inches
314 square inches
157 square inches
274.75 square inches of pizza are remaining. Option A is the correct option.
What is π in math?
The ratio of a circle's diameter to its circumference, or "pi," is a mathematical constant that is roughly equal to 3.14159 (/pa/; also written as "pi"). Numerous mathematical and physics formulas contain the number. It is an irrational number, meaning that although fractions like 22/7 are frequently used to approximate it, it cannot be expressed exactly as a ratio of two integers.
Given that, the diameter of large pizza is 20 inches.
The radius of a circular shape is half of the diameter.
The radius of the pizza is (20 inches)/2 = 10 inches.
Area of a circular shape is ∏r² .
The area of the pizza is 3.14×10² = 314 in²
The total part of the pizza is considered as 1.
One-eighth of the pizza is eaten, and the remaining portion is (1-1/8) = 7/8.
The area of remaining pizza is
314 in² × (7/8)
= 274.75 square inches
To learn more about area of a circular shape click on the below link:
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Answer:
y = 1/4
Step-by-step explanation:
y⁻⁴ = 256
(1/y)⁴ = 256
y⁴ = 1/256
y = ⁴√1/256
y = 1/4
Thus,The value of y is 1/4
-TheUnknownScientist
The value of y for the equation y⁻⁴ = 256 is 4. This is found by calculating the 4th root of 256, or taking the square root of the square root of 256.
To solve for the value of y when y⁻⁴ = 256, firstly, you need to restate equation as the 4th root of 256 equals y.
The 4th root of 256 can easily be found by taking the square root of the square root of 256 (or simply using a calculator equipped with the root function).
When you do this, you find that the 4th root of 256 = 4. Therefore, y = 4.
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2x² – 5x + 3 = m(x)
Answer:
Step-by-step explanation:
For quadratic ax² +bx +c, the axis of symmetry is x = -b/(2a). For your function, a=2, b=-5, c=3 and the axis of symmetry is ...
x = -(-5)/(2(2)) = 5/4 = 1.25
The vertex is on the axis of symmetry. The y-value there is ...
m(5/4) = (2(5/4) -5)(5/4) +3 = (-5/2)(5/4) +3 = -25/8 +24/8 = -1/8
The vertex is (5/4, -1/8).
The axis of symmetry is x = 5/4.
The leading coefficient is positive, so the parabola opens upward. The vertex is a minimum.
The minimum is -1/8.
The function is defined for all values of x, so ...
the domain is all real numbers.
Values of y can only be -1/8 or greater, so ...
the range is y ≥ -1/8.